Notes on affine Killing and two-Killing vector fields

DOI10.1515/ms-2022-0034zbMath1490.53057OpenAlexW4285504395MaRDI QIDQ2122496

Wenjie Wang

Publication date: 6 April 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2022-0034

zbMATH Keywords

Killing vector fieldLaplacianaffine Killing vector fieldRicci almost solitontwo-Killing vector fields

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Affine conformal vector fields in semi-Riemannian manifolds
• Three-manifolds with positive Ricci curvature
• Characterizations of trivial Ricci solitons
• Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds
• Closed conformal vector fields
• On harmonic and Killing vector fields
• $2-$Killing Vector Fields on Warped Product Manifolds
• Ricci almost solitons
• On Affine Transformations of a Riemannian Manifold
• Affine Killing vector fields on homogeneous surfaces with torsion
• Almost Ricci solitons isometric to spheres

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